| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1896673 | Physica D: Nonlinear Phenomena | 2013 | 19 Pages |
Abstract
⺠We study codimension-one tori in three-dimensional, volume-preserving maps. ⺠The generalized Farey Tree of Kim and Ostlund is used to construct periodic orbits. ⺠These sequences of periodic orbits converge to a given incommensurate torus. ⺠Growth of the residue of nearby periodic orbits predicts the destruction of tori. ⺠The critical function is computed and the most robust torus is located.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Adam M. Fox, James D. Meiss,